EIGENVALUE PROBLEM FOR FRACTIONAL DIFFERENCE EQUATION WITH NONLOCAL CONDITIONS

被引：1

作者：

Zhao, Yongshun ^{[1
]}

Sun, Shurong ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期

关键词：

Boundary value problem; fractional difference equation; positive solutions; eigenvalue problem; fixed-point theorem; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; STABILITY;

D O I：

10.11948/20180305

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate a class of boundary value problem for fractional difference equation with nonlocal conditions {Delta(nu)u(t) + lambda f(t + nu - 1, u(t + nu - 1)) = 0, t is an element of N-0(b+1), u(nu - 2) = h(u), Delta u(nu + b) = g(u), where 1 < nu <= 2 is a real number, f : N-nu-1(nu+b) x R -> (0, +infinity) is a continuous function, g, h are given functionals, b >= 2 is an integer, lambda > 0 is a parameter. By upper and lower solutions method, we can present the existence result of positive solutions. The eigenvalue intervals to this problem are studied by the properties of the Green function and Guo-Krasnosel'skii fixed point theorem in cones.

引用

页码：32 / 44

页数：13

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